期刊论文

Rational Criterion of Pre-estimating Failure Region Distribution for Fail-safe Topology Optimization of Continuum Structures

Sui, Y.

中文

固体力学学报

0254-7805

2018

39

6

594-605

10.19636/j.cnki.cjsm42-1250/o3.2018.024

国家自然科学基金项目(11672103) 湖南省自然科学基金项目(2016JJ6016)资助.

本校为第一机构

针对连续体结构破损-安全的拓扑优化问题,通过几何分析途径,建立了预估破损区域的理性准则,即给出了结构局部破损模式尺寸上、下限及相邻局部破损区域的间距上、下限.以此理性准则,分析了Janson及Zhou给出的破损区域预估分布策略的各自优缺点,并通过算例对相关策略进行了验证.结果表明:Janson的策略过于保守而导致不必要的极大计算量;Zhou的无缝平铺的策略不能保证所有拓扑生成离散元件通过破损测试,但在多数情况下仍可以得到具有足够冗余的最优拓扑;论文提出的以满足理性准则的方式布置破损区域,可以保证所有拓扑生成离散元件通过破损测试,并保证得到更多冗余的最优拓扑.论文的研究表明,预估破...

To address the fail-safe topology optimization problems of continuum structures, the rational criterion of pre-estimating the failure region distribution is established based on geometric analysis, that is, the boundary limits for the size of local failure mode and for the space of adjacent local failure regions are given. The advantages and disadvantages of the strategies of pre-estimating the failure region distribution proposed by Janson and Zhou are analyzed according to the proposed rational criterion. Numerical examples are given to verif...